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2314354225000 = 235597195339
BaseRepresentation
bin100001101011011010010…
…000101110111101101000
322012020202022210001122011
4201223122100232331220
5300404244140200000
64531111043005304
7326130566221036
oct41533220567550
98166668701564
102314354225000
1181256a696854
12314654669834
1313a3201a712c
1480030155556
15403059402ba
hex21ada42ef68

2314354225000 has 96 divisors (see below), whose sum is σ = 5429563423200. Its totient is φ = 924778600000.

The previous prime is 2314354224989. The next prime is 2314354225151. The reversal of 2314354225000 is 5224534132.

2314354225000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24227331 + ... + 24322669.

It is an arithmetic number, because the mean of its divisors is an integer number (56557952325).

Almost surely, 22314354225000 is an apocalyptic number.

2314354225000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2314354225000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2714781711600).

2314354225000 is an abundant number, since it is smaller than the sum of its proper divisors (3115209198200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2314354225000 is an frugal number, since it uses more digits than its factorization.

2314354225000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96341 (or 96317 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 31.

Adding to 2314354225000 its reverse (5224534132), we get a palindrome (2319578759132).

The spelling of 2314354225000 in words is "two trillion, three hundred fourteen billion, three hundred fifty-four million, two hundred twenty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 971 1000 1250 1942 2500 3125 3884 4855 5000 6250 7768 9710 12500 19420 24275 25000 38840 48550 95339 97100 121375 190678 194200 242750 381356 476695 485500 606875 762712 953390 971000 1213750 1906780 2383475 2427500 3034375 3813560 4766950 4855000 6068750 9533900 11917375 12137500 19067800 23834750 24275000 47669500 59586875 92574169 95339000 119173750 185148338 238347500 297934375 370296676 462870845 476695000 595868750 740593352 925741690 1191737500 1851483380 2314354225 2383475000 3702966760 4628708450 9257416900 11571771125 18514833800 23143542250 46287084500 57858855625 92574169000 115717711250 231435422500 289294278125 462870845000 578588556250 1157177112500 2314354225000